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Finding the Fourth Proportional to 260,726.85, 390,820.62 and 148,164.69

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Solution

The fourth proportional to 260,726.85, 390,820.62 and 148,164.69 is: 222,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,726.85 : 390,820.62 = 148,164.69 : x
  2. Step 2: Convert to fraction form
    260,726.85/390,820.62 = 148,164.69/x
  3. Step 3: Cross multiply
    260,726.85x = 390,820.62 × 148,164.69
  4. Step 4: Simplify right side
    260,726.85x = 57,905,817,612.39
  5. Step 5: Solve for x
    x = 57,905,817,612.39/260,726.85
  6. Step 6: Final answer
    x = 222,093.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.